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In addition to the striking beauty inherent in their complex nature, fractals have become a fundamental ingredient of nonlinear dynamics and chaos theory since they were defined in the 1970s. Moreover, fractals have been detected in nature and in most fields of science, with even a certain influence in the arts. Fractal structures appear naturally in… (More)

- Francisco J. Escribano, Luis López, Miguel A. F. Sanjuán
- IEEE Trans. on Circuits and Systems
- 2008

- J P Baltanás, L López, +4 authors M A F Sanjuán
- Physical review. E, Statistical, nonlinear, and…
- 2003

We consider an overdamped bistable oscillator subject to the action of a biharmonic force with very different frequencies, and study the response of the system when the parameters of the high-frequency force are varied. A resonantlike behavior is obtained when the amplitude or the frequency of this force is modified in an experiment performed by means of an… (More)

- Borja Ibarz, Hongjun Cao, Miguel A F Sanjuán
- Physical review. E, Statistical, nonlinear, and…
- 2008

A system consisting of two map-based neurons coupled through reciprocal excitatory or inhibitory chemical synapses is discussed. After a brief explanation of the basic mechanism behind generation and synchronization of bursts, parameter space is explored to determine less obvious but biologically meaningful regimes and effects. Among them, we show how… (More)

- Borja Ibarz, José Manuel Casado, Miguel A F Sanjuán
- Physical review. E, Statistical, nonlinear, and…
- 2007

We study the dynamics of networks of inhibitory map-based bursting neurons. Linear analysis allows us to understand how the patterns of bursting are determined by network topology and how they depend on the strength of synaptic connections, when inhibition is balanced. Two kinds of patterns are found depending on the symmetry of the network: slow cyclic… (More)

- Jesús M Seoane, Miguel A F Sanjuán, Ying-Cheng Lai
- Physical review. E, Statistical, nonlinear, and…
- 2007

The effect of weak dissipation on chaotic scattering is relevant to situations of physical interest. We investigate how the fractal dimension of the set of singularities in a scattering function varies as the system becomes progressively more dissipative. A crossover phenomenon is uncovered where the dimension decreases relatively more rapidly as a… (More)

- Francisco J. Escribano, Slobodan Kozic, Luis López, Miguel A. F. Sanjuán, Martin Hasler
- IEEE Trans. Communications
- 2009

—In this paper, we explain how to build a turbo-like structure with binary inputs and chaotic outputs for efficient coding and decoding in additive white Gaussian noise (AWGN). We analyze the convergence of the decoding algorithm, the performance in the error floor region and explain minimum distance properties of the resulting codes.

- Francisco J. Escribano, Luis López, Miguel A. F. Sanjuán
- IEEE Trans. on Circuits and Systems
- 2010

—This paper proposes a serially concatenated system with an outer convolutional channel encoder and an inner chaos-based coded modulator. With the help of the principles of symbolic dynamics, the chaotic modulation can be described in terms of a trellis. Owing to this, we show that the resulting system can be designed and analyzed following developments… (More)

- Francisco J. Escribano, Miguel A. F. Sanjuán, Luis López
- Proceedings of the Eighth International Symposium…
- 2005

In the present article we propose a new soft-input soft-output (SISO) decoding module for a chaos-channel encoded binary signal. When the chaos based channel en-coder is used as inner encoder and a convolutional encoder is used as outer encoder in a serial concatenation scheme, the signal can be thus iterativelly and jointly decoded by means of the… (More)

- Gouhei Tanaka, Borja Ibarz, Miguel A F Sanjuan, Kazuyuki Aihara
- Chaos
- 2006

The present paper studies regular and complex spatiotemporal behaviors in networks of coupled map-based bursting oscillators. In-phase and antiphase synchronization of bursts are studied, explaining their underlying mechanisms in order to determine how network parameters separate them. Conditions for emergent bursting in the coupled system are derived from… (More)